Find the range of the function f (x) = 4x-1 for the domain {-1, 0, 1, 2, 3}

Domain is the set of numbers that you can input into the function

the range is the set of numbers that the function outputs from the inputs from the domain

domain={-1,0,1,2,3}

so just subsitute those values for x

f (-1) = 4 (-1) - 1

f (-1) = - 4-1

f (-1) = - 5

one is - 5

Range={-5 and more later}

f (0) = 4 (0) - 1

f (0) = 0-1

f (0) = - 1

Range={-5,-1 and more later}

f (1) = 4 (1) - 1

f (1) = 4-1

f (1) = 3

Range={-5,-1,3 and more}

f (2) = 4 (2) - 1

f (2) = 8-1

f (2) = 7

Range={-5,-1,3,7 and one more}

f (3) = 4 (3) - 1

f (3) = 12-1

f (3) = 11

Range={-5,-1,3,7,11}

the range is Range={-5,-1,3,7,11}

The range of function is the input. So you would substitute (x) for each of the numbers in the domain. The answers would be {-5, - 1, 3, 7, 11}